Class 7 mathematics forms the base of the concept that students will come across in current and next grades. It will help them to understand the fundamental terminologies that will be used in the next year’s syllabus on the 8^{th}, 9^{th}, and 10^{th}. Therefore it is very important to cover each concept in class 7. As the chapters will remain almost the same but the level of complexity will increase in coming years, strengthening the basics at this grade will play a crucial role in the development of students.

**RD Sharma Solutions for Class 7** is the best choice for students to better understand and study the whole syllabus with integrity. Most ambitious and aspirant students will always look for additional study material to enhance their scores so these solutions are the correct option for them.

Table of Contents

**Mathematics**

**Chapter wise summary**

**Chapter 1 – Integers**

From this chapter, the students will learn about the definition of integers, representation on the number line, properties of addition & subtraction of integers, multiplication of integers, properties of multiplication of integers, and distributive property, division of integers, properties of the division of integers.

**Chapter 2 – Fractions**

In this chapter, the students will learn the multiplication of fractions, and types of fractions – proper fraction, improper fraction, mixed fraction, like fraction, unlike fraction, and equivalent fraction.

**Chapter 3 – Decimals**

From this chapter, the students will know about decimals. Numbers that are generally used to represent numbers that are smaller than unit 1 are termed decimal. This chapter contains an introduction to decimals, multiplication of decimals, and division of decimals.

**Chapter 4 – Rational Numbers**

This chapter explains the introduction of rational numbers, equivalent rational numbers, rational numbers in standard form, LCM, rational numbers between two rational numbers, and properties of rational numbers (closure, commutativity, associative).

**Chapter 5 – Operations On Rational Numbers**

This chapter on operations on rational numbers details about addition of rational numbers, subtraction of rational numbers, multiplication & division of rational numbers, negatives & reciprocals, the additive inverse of a rational number, representation on a number line, and comparison of rational numbers.

**Chapter 6 – Exponents**

In this chapter, the students will learn about the exponents and powers. The students will know about expressing the numbers as a product of powers of their prime factors, writing the numbers using exponential notation, dividing powers with an equivalent base, working with the power of influence, multiplying powers with equivalent exponents, dividing, powers with equivalent exponents and numbers with exponent zero.

**Chapter 7 – Algebraic Expressions**

From this chapter, the students will understand an introduction to algebraic expressions, constants, terms of expression, coefficient of a term, algebra as patterns, writing number patterns & rules related to them, writing patterns in geometry, the definition of variables, factors of a term, formation of algebraic expressions, like & unlike terms, monomial, binomials, trinomials, & polynomial terms, addition & subtraction of algebraic expressions, solving an equation, use of algebraic expressions in the formula of the perimeter of figures, and use of algebraic expressions in the formula of area of figures.

**Chapter 8 – Linear Equations in One Variable**

From this chapter the students will learn the following things; an equation is a statement of equality that involves one or more literals, linear equations are those in which the highest power of the variables involved is 1, and the solution of an equation in trial and error method, systematic method, equations involving addition, equations involving subtraction, equations involving multiplication, equations involving division, transposition method, and applications of linear equations to practical problems.

**Chapter 9 – Ratio and Proportion**

In this chapter, the students will learn the following things –

- Ratio – the ratio of two quantities of the same kind and in the same units is a fraction that shows how many times the one quantity is of the other
- The ratio in its simplest form
- Comparison of ratios
- Definition and meaning of equivalent ratios
- Proportion – equality of two ratios is called proportion
- Definition of mean proportional

**Chapter 10 – Unitary Method**

In this chapter, the students will learn about the unitary method. A unitary method is a method in which you find the value of a unit and then the value of a required number of units. The students will know examples of the unitary method, the unitary method in ratio & proportion, types of unitary method, applications of the unitary method, unitary method speed, distance, & time, and unitary method for time & work.

**Chapter 11 – Percentage**

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we are to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The percent means per 100. It is represented by the symbol %. Percentages have no dimension. Hence it is called a dimensionless number. If we say 50% of a number, then it means 50 percent of its whole.

**Chapter 12 – Profit and Loss**

The profit and loss formula is used to determine the price of a commodity in the market and understand how profitable a business is. Every product has a cost price and a selling price. When the selling price is more than the cost price the profit is seen. Based on these costs we can calculate gains and losses for a particular product. This chapter will clarify the concept of profit and loss in students’ minds.

**Chapter 13 – Simple Interest**

In this chapter, the students will learn that simple interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and others. When a person makes a payment for a loan, first it goes to monthly interest and the remaining goes towards the principal amount. The students will also learn the simple interest formula and the difference between simple and compound interest.

**Chapter 14 – Lines and Angles**

Lines and angles are the two basic things of geometry. It further elaborates on many uses in making a lot of figures and theorems. This chapter speaks about the introduction to lines & angles, line segment, ray, angle, types of angles, related angles, pairs of lines, and checking for parallel lines.

**Chapter 15 – Properties of Triangles**

From this chapter, the students will learn an introduction to the triangles, important lines in a triangle, median, altitude, sum of the lengths of two sides of a triangle, the difference between lengths of two sides of a triangle, angle sum property of a triangle, exterior angle of a triangle & its property, Pythagoras theorem, properties of isosceles & equilateral triangles, and classification of triangles based on sides & angles.

**Chapter 16 – Congruence**

In this chapter, the students will learn concepts of congruence, an introduction to congruent triangles, congruent figures, criteria for congruency (SSS, SAS, ASA, and AAS), and why SSAA and AAA congruency is not valid.

**Chapter 17 – Constructions**

From this chapter, the students will learn to construct various figures based on the given input. The students will know the method of construction of a line parallel to a given line using only a sheet of paper, the steps of construction of a line parallel to a given line, the classification of triangles based on sides & angles, important properties of a triangle, and construction of triangles based on various criteria.

**Chapter 18 – Symmetry**

Symmetry is a geometrical concept that is found in most cases including nature. A shape is symmetric if an imaginary line passes through dividing the shape into two similar halves. The imaginary line is called a line of symmetry. The students will learn about reflection symmetry, point symmetry, lines of symmetry for regular polygons, rotational symmetry, geometry in rotational symmetry, and figures with both line & rotational symmetry.

**Chapter 19 – Visualizing Solid Shapes**

From this chapter, the students will learn the solid in Maths, 1D & 2D figures, solid shapes, perspectives of a solid shape, quantities associated with a solid, net of solid shapes, and representing 3D shapes on a paper.

**Chapter 20 – Mensuration**

From this chapter, the students will learn various geometrical shapes and their lengths, breadth, volume, and area. It is the study of the perimeter and area of 2D and 3D shapes. It consists of the perimeter of square & rectangle, area of square & rectangle, area of parallelogram, triangle as a part of the rectangle, area of a triangle, conversion of units, terms related to a circle, circumference of a circle, visualizing area of a circle, and introduction & value of Pi.

**Chapter 21 – Data Handling**

This chapter explains the double bar graphs, averages, arithmetic mean & range, median, mode, chance & probability, the scale, basics: the right data in the right form, organization of data, and pictographs & bar graphs.

**Importance of Mathematics: –**

Mathematics is a very interesting subject and those who like numbers will like studying them. There are a lot of types and combinations of expressions and equations that can amaze students knowing what wonder they can do. Students have no limit in learning maths and there are various fields where maths is a prime requirement.

All banking and financial sectors need people with a strong base of maths and even different types of engineering streams also require students with strong basics of maths. **R D Sharma Solutions for Class 7** will enable students to practice maths from a very young age and it will create an interest in them. As the solutions are structured by experts and professionals there is no need to worry about the easiness of understanding. The answers are arranged for even an average student to understand in flowing language. The students will get access to a lot of practice papers, probable questions, revision notes, and many more.

**Conclusion: –**

For the students at the intermediate stage of schooling, it is important to make their studies interesting. To avoid the feeling of burden on the students, the **R D Sharma Solutions for Class 7** are designed with a lot of pictorial presentations and video demonstrations. It is an advantage of the addition of such study material that will keep the students curious.

As we all know that it is always entertaining to see pictures and videos and it also enhances the intensity of the students. If the education is presented in a simple way with routine examples in daily life, it becomes more bearable and satisfactory. Parents are also encouraged to go through such study material along with the regular textbooks.

**Why there is a need for additional study material?**

It is always an advantage to have more study material to score higher. Since the solutions have answers to questions, it will help the students.

**Why to refer R D Sharma’s solutions?**

**R D Sharma Solutions for Class 7** is one such study material that can make the study easier due to its simple explanation.

**Who needs to study R D Sharma’s solutions?**

R D Sharma’s solutions support Maths only so the students who are weak or those who want to score higher marks in Maths in class 7 can refer to these.

**Is R D Sharma’s solution a reliable study material?**

Yes, by learning R D Sharma’s solutions along with textbooks the students can clear any doubts from their minds.

** Is class 7 Maths an important subject?**

For those who aspire to high marks, all subjects are important because high marks in Maths and Science can draw a better future path for students.

**What can be done to improve study?**

Consistent writing and memorizing the answers systematically can be the key to success. It is important to write excessively along with reading.